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A demographic study models the population (in thousands) of a community by the function 1 +21+3 p(Q)=30 +40+200 where is the quality of life index value determined by Q(t)=- 2r +1 varies with time (years) for 0 10. a) [4 pts] What is the quality of life index value at 4 years? What would the corresponding population at 4 years? which b) [6 pts] At what rate is the population changing with respect to time at 4 years? Is the population increasing or decreasing at this time?